Unitary Fermi Gas: Scaling Symmetries and Exact Map

Details Unitary Fermi Gas: Scaling Symmetries and Exact Map Unitary Fermi Gas: Scaling Symmetries and Exact Map

2009-05-12

arxiv.org/abs/0905.1911v2

Physics

Condensed Matter

Quantum Gases

5 pages, author added, correction in eq. (12), minor changes, added refs

Scientific paper

The weakly bound system of dimers formed in a cold Fermi gas at infinite scattering length reveals an underlying SU(1,1) symmetry, which facilitates an exact map from the interacting to the non-interacting system. A systematic treatment of this symmetry for the ground state, is shown to result in a shift of energy proportional to the scaling exponent. For the excited states, novel breathing modes at integral values of the harmonic frequency $\omega$ are predicted in one-dimension and consequences for the realization of exclusion statistics are pointed out.

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